Package edu.jas.ufd
Class PartialFraction<C extends GcdRingElem<C>>
java.lang.Object
edu.jas.ufd.PartialFraction<C>
- Type Parameters:
C
- coefficient type
- All Implemented Interfaces:
Serializable
Container for the partial fraction decomposition of a squarefree denominator.
num/den = sum( a_i / d_i )
- See Also:
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Field Summary
FieldsModifier and TypeFieldDescriptionfinal List
<GenPolynomial<AlgebraicNumber<C>>> List of factors of the denominator with coefficients from an AlgebraicNumberRing<C>.final List
<AlgebraicNumber<C>> List of algebraic numbers of an algebraic field extension over C.final List
<GenPolynomial<C>> List of linear factors of the denominator with coefficients from C.List of numbers from C.final GenPolynomial
<C> Original (irreducible) denominator polynomial coefficients from C.private static final org.apache.logging.log4j.Logger
final GenPolynomial
<C> Original numerator polynomial coefficients from C and deg(num) < deg(den). -
Constructor Summary
ConstructorsConstructorDescriptionPartialFraction
(GenPolynomial<C> n, GenPolynomial<C> d, List<C> cf, List<GenPolynomial<C>> cd, List<AlgebraicNumber<C>> af, List<GenPolynomial<AlgebraicNumber<C>>> ad) Constructor. -
Method Summary
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Field Details
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logger
private static final org.apache.logging.log4j.Logger logger -
num
Original numerator polynomial coefficients from C and deg(num) < deg(den). -
den
Original (irreducible) denominator polynomial coefficients from C. -
cfactors
List of numbers from C. -
cdenom
List of linear factors of the denominator with coefficients from C. -
afactors
List of algebraic numbers of an algebraic field extension over C. -
adenom
List of factors of the denominator with coefficients from an AlgebraicNumberRing<C>.
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Constructor Details
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PartialFraction
public PartialFraction(GenPolynomial<C> n, GenPolynomial<C> d, List<C> cf, List<GenPolynomial<C>> cd, List<AlgebraicNumber<C>> af, List<GenPolynomial<AlgebraicNumber<C>>> ad) Constructor.- Parameters:
n
- numerator GenPolynomial over C.d
- irreducible denominator GenPolynomial over C.cf
- list of elements a_i.cd
- list of linear factors d_i of d.af
- list of algebraic elements a_i.ad
- list of linear (irreducible) factors d_i of d with algebraic coefficients. n/d = sum( a_i / d_i )
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Method Details
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toString
Get the String representation. -
toScript
Get a scripting compatible string representation.- Returns:
- script compatible representation for this container.
- See Also:
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hashCode
public int hashCode()Hash code for this Factors. -
equals
Comparison with any other object. -
isPartialFraction
public boolean isPartialFraction()Test if correct partial fraction. num/den = sum( a_i / d_i )
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